A Quasi Curtis-Tits-Phan theorem for the symplectic group
| dc.creator | Hoffman, Rieuwert J. Blok Corneliu | |
| dc.date | 2008-05-17 | |
| dc.date.accessioned | 2026-07-07T09:39:36Z | |
| dc.date.available | 2026-07-07T09:39:36Z | |
| dc.description | We obtain the symplectic group $\SP(V)$ as the universal completion of an amalgam of low rank subgroups akin to Levi components. We let $\SP(V)$ act flag-transitively on the geometry of maximal rank subspaces of $V$. We show that this geometry and its rank $\ge 3$ residues are simply connected with few exceptions. The main exceptional residue is described in some detail. The amalgamation result is then obtained by applying Tits' lemma. This provides a new way of recognizing the symplectic groups from a small collection of small subgroups. | |
| dc.identifier | https://arxiv.org/abs/0805.2680 | |
| dc.identifier | http://arxiv.org/abs/0805.2680 | |
| dc.identifier | doi:10.1016/j.jalgebra.2007.07.014 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/161234 | |
| dc.subject | Group Theory | |
| dc.subject | Combinatorics | |
| dc.subject | 51A50 (Primary), 57M07 (Secondary) | |
| dc.title | A Quasi Curtis-Tits-Phan theorem for the symplectic group | |
| dc.type | text |